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Two slits separated by a distance of d=0.150 mm are located at a distance of D=810. mm from a screen. The screen is oriented parallel to the plane of the slits. The slits are illuminated by a coherent light source with a wavelength of λ=549×10−6 mm. The interference pattern shows a peak at the center of the screen (m=0) and then alternating minima and maxima.
(a) What is the path length difference in millimeters between the two waves from the two slits at the first (m=1) maximum on the screen?
(b) What is the path length difference in millimeters between the two waves from the two slits at the first (m=0) minimum on the screen?
(c) Calculate the distance on the screen between the central maximum (m=0) and the first (m=1) maximum. You can assume sinθ≈tanθ≈θ, with θ expressed in radians. Give your answer in millimeters.
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